# Least Common Multiple

The least common multiple (LCM) of two or more numbers is the smallest or least number that is divisible by all the given numbers. Hence, for counting numbers *p* and *q*,

**Examples:**1. Find the LCM of 6 and 20.

**SOLUTION:**

Our LCM is the product of all the quotients and divisors, that is,

2. Find the LCM of 8, 24 and 36.

**SOLUTION:**

Hence, the least common multiple of 8, 24 and 36 is

3. Find the LCM of 2, 5 and 7.

**SOLUTION:**

The numbers are relatively prime. Their LCM is just their product; that is,

## Least Common Multiple Worksheets

- Worksheet 1 (20 FREE RESPONSE items with answers)
- Worksheet 1 (20 MULTIPLE CHOICE items with answers)
- Worksheet 2 (30 FREE RESPONSE items with answers)
- Worksheet 2 (30 MULTIPLE CHOICE items with answers)
- Worksheet 3 (40 FREE RESPONSE items with answers)
- Worksheet 3 (40 MULTIPLE CHOICE items with answers)
- Worksheet 4 (50 FREE RESPONSE items with answers)
- Worksheet 4 (50 MULTIPLE CHOICE items with answers)

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